##### Document Text Contents

Page 1

http://en.wikipedia.org/wiki/John_Harsanyi

http://en.wikipedia.org/wiki/Reinhard_Selten

http://en.wikipedia.org/wiki/Nobel_Memorial_Prize_in_Economic_Sciences

http://en.wikipedia.org/wiki/Princeton_University

http://en.wikipedia.org/wiki/Evolutionary_biology

http://en.wikipedia.org/wiki/Market_economics

http://en.wikipedia.org/wiki/Partial_differential_equations

http://en.wikipedia.org/wiki/Differential_geometry

http://en.wikipedia.org/wiki/Game_theory

http://en.wikipedia.org/wiki/Mathematician

http://en.wikipedia.org/wiki/Nobel_Memorial_Prize_in_Economic_Sciences

http://en.wikipedia.org/wiki/Algebraic_geometry

http://en.wikipedia.org/wiki/Nash_embedding_theorem

http://en.wikipedia.org/wiki/Nash_equilibrium

http://en.wikipedia.org/wiki/Albert_W._Tucker

http://en.wikipedia.org/wiki/Doctoral_advisor

http://en.wikipedia.org/wiki/Carnegie_Mellon_University

http://en.wikipedia.org/wiki/Carnegie_Mellon_University

http://en.wikipedia.org/wiki/Carnegie_Institute_of_Technology

http://en.wikipedia.org/wiki/Princeton_University

http://en.wikipedia.org/wiki/Alma_mater

http://en.wikipedia.org/wiki/Princeton_University

http://en.wikipedia.org/wiki/Massachusetts_Institute_of_Technology

http://en.wikipedia.org/wiki/Economics

http://en.wikipedia.org/wiki/Mathematics

http://en.wikipedia.org/wiki/Bluefield,_West_Virginia

http://en.wikipedia.org/wiki/File:John_Forbes_Nash,_Jr._by_Peter_Badge.jpg

Page 2

Nash is the subject of the Hollywood movie A Beautiful Mind. The film, loosely based on the

biography of the same name, focuses on Nash's mathematical genius and struggle with paranoid

schizophrenia.[1][2]

Contents

[hide]

• 1 Early life

• 2 Post-graduate life

• 3 Personal life

• 4 Schizophrenia

• 5 Recognition and later career

• 6 References

• 7 External links

[edit] Early life

Nash was born on June 13, 1928 in Bluefield, West Virginia. His father, after whom he is named,

was an electrical engineer for the Appalachian Electric Power Company. His mother, Margaret,

had been a school teacher prior to marriage. Nash's parents pursued opportunities to supplement

their son's education with encyclopedias and even allowed him to take advanced mathematics

courses at a local college while still in high school. Nash accepted a scholarship to Carnegie

Institute of Technology (now Carnegie Mellon University) and graduated with a Master's Degree

in only three years.[3]

[edit] Post-graduate life

Nash's advisor and former Carnegie Tech professor, R.J. Duffin, wrote a letter of

recommendation consisting of a single sentence: "This man is a genius."[4] Nash was accepted by

Harvard University, but the chairman of the mathematics department of Princeton, Solomon

Lefschetz, offered him the John S. Kennedy fellowship, which was enough to convince Nash that

Harvard valued him less.[5] Thus he went to Princeton where he worked on his equilibrium

theory. He earned a doctorate in 1950 with a 28 page dissertation on non-cooperative games.[6]

The thesis, which was written under the supervision of Albert W. Tucker, contained the

definition and properties of what would later be called the "Nash Equilibrium". These studies led

to four articles:

• "Equilibrium Points in N-person Games" , Proceedings of the National Academy of

Sciences 36 (1950), 48–49. MR 0031701

• "The Bargaining Problem", Econometrica 18 (1950), 155–162. MR 0035977

• "Non-cooperative Games", Annals of Mathematics 54 (1951), 286–295. [1]

• "Two-person Cooperative Games", Econometrica 21 (1953), 128–140. MR 0053471

Nash did ground-breaking work in the area of real algebraic geometry:

• "Real algebraic manifolds", Annals of Mathematics 56 (1952), 405–421. MR 0050928 See

Proc. Internat. Congr. Math. (AMS, 1952, pp 516–517).

http://www.ams.org/mathscinet-getitem?mr=0050928

http://en.wikipedia.org/wiki/Mathematical_Reviews

http://en.wikipedia.org/wiki/Annals_of_Mathematics

http://en.wikipedia.org/wiki/Algebraic_geometry

http://www.ams.org/mathscinet-getitem?mr=0053471

http://en.wikipedia.org/wiki/Mathematical_Reviews

http://www.jstor.org/stable/1969529

http://www.ams.org/mathscinet-getitem?mr=0035977

http://en.wikipedia.org/wiki/Mathematical_Reviews

http://en.wikipedia.org/wiki/Econometrica

http://www.ams.org/mathscinet-getitem?mr=0031701

http://en.wikipedia.org/wiki/Mathematical_Reviews

http://en.wikipedia.org/wiki/Proceedings_of_the_National_Academy_of_Sciences

http://en.wikipedia.org/wiki/Proceedings_of_the_National_Academy_of_Sciences

http://www.pnas.org/cgi/reprint/36/1/48

http://en.wikipedia.org/wiki/Nash_Equilibrium

http://en.wikipedia.org/wiki/Albert_W._Tucker

http://en.wikipedia.org/wiki/Dissertation

http://en.wikipedia.org/wiki/Doctor_of_Philosophy

http://en.wikipedia.org/wiki/Nash_equilibrium

http://en.wikipedia.org/wiki/Solomon_Lefschetz

http://en.wikipedia.org/wiki/Solomon_Lefschetz

http://en.wikipedia.org/wiki/Harvard_University

http://en.wikipedia.org/wiki/Genius

http://en.wikipedia.org/w/index.php?title=John_Forbes_Nash,_Jr.&action=edit§ion=2

http://en.wikipedia.org/wiki/Carnegie_Mellon_University

http://en.wikipedia.org/w/index.php?title=John_Forbes_Nash,_Jr.&action=edit§ion=1

http://en.wikipedia.org/wiki/John_Forbes_Nash,_Jr.

http://en.wikipedia.org/wiki/John_Forbes_Nash,_Jr.

http://en.wikipedia.org/wiki/Paranoid_schizophrenia

http://en.wikipedia.org/wiki/Paranoid_schizophrenia

http://en.wikipedia.org/wiki/A_Beautiful_Mind_(book)

http://en.wikipedia.org/wiki/A_Beautiful_Mind_(film)

http://en.wikipedia.org/wiki/Hollywood

Page 3

http://en.wikipedia.org/wiki/Wikipedia:Avoid_weasel_words

http://en.wikipedia.org/wiki/Atypical_antipsychotic

http://en.wikipedia.org/wiki/A_Beautiful_Mind_(film)

http://en.wikipedia.org/wiki/Insulin_shock_therapy

http://en.wikipedia.org/wiki/Pharmaceutical_drug

http://en.wikipedia.org/wiki/Antipsychotic

http://en.wikipedia.org/wiki/Psychiatric_hospital

http://en.wikipedia.org/wiki/New_Jersey_State_Hospital_at_Trenton

http://en.wikipedia.org/wiki/Federal_government_of_the_United_States

http://en.wikipedia.org/wiki/Geneva

http://en.wikipedia.org/wiki/Citizenship

http://en.wikipedia.org/wiki/East_Germany

http://en.wikipedia.org/wiki/France

http://en.wikipedia.org/wiki/Political_asylum

http://en.wikipedia.org/wiki/Pension

http://en.wikipedia.org/wiki/Clinical_depression

http://en.wikipedia.org/wiki/Paranoid_schizophrenia

http://en.wikipedia.org/wiki/McLean_Hospital

http://en.wikipedia.org/wiki/Washington,_D.C.

http://en.wikipedia.org/wiki/Paranoia

http://en.wikipedia.org/w/index.php?title=John_Forbes_Nash,_Jr.&action=edit§ion=4

http://en.wikipedia.org/wiki/Nobel_Memorial_Prize_in_Economic_Sciences

http://en.wikipedia.org/wiki/Schizophrenia

http://en.wikipedia.org/wiki/Mental_hospital

http://en.wikipedia.org/wiki/El_Salvador

http://en.wikipedia.org/wiki/Physics

http://en.wikipedia.org/w/index.php?title=Alicia_L%C3%B3pez-Harrison_de_Lard%C3%A9&action=edit&redlink=1

http://en.wikipedia.org/wiki/Massachusetts_Institute_of_Technology

http://en.wikipedia.org/w/index.php?title=John_Forbes_Nash,_Jr.&action=edit§ion=3

http://en.wikipedia.org/wiki/Singularity_theory

http://en.wikipedia.org/wiki/Parabolic_partial_differential_equation

http://en.wikipedia.org/wiki/Euclidean_space

http://en.wikipedia.org/wiki/Isometry

http://en.wikipedia.org/wiki/Riemannian_manifold

http://en.wikipedia.org/wiki/Nash_embedding_theorem

http://en.wikipedia.org/wiki/Mathematics

Page 4

http://en.wikipedia.org/wiki/Evolutionary_psychology

http://en.wikipedia.org/wiki/Strike_action

http://en.wikipedia.org/wiki/Mental_illness

http://en.wikipedia.org/w/index.php?title=Partial_agency&action=edit&redlink=1

http://en.wikipedia.org/wiki/Wikipedia:Citation_needed

http://en.wikipedia.org/wiki/Wikipedia:Citation_needed

http://en.wikipedia.org/wiki/Bank_of_Sweden

http://en.wikipedia.org/wiki/Email

http://en.wikipedia.org/wiki/Reinhard_Selten

http://en.wikipedia.org/wiki/John_Harsanyi

http://en.wikipedia.org/wiki/Nobel_Memorial_Prize_in_Economic_Sciences

http://en.wikipedia.org/wiki/Leroy_P._Steele_Prize

http://en.wikipedia.org/wiki/Nash_equilibrium

http://en.wikipedia.org/wiki/John_von_Neumann_Theory_Prize

http://en.wikipedia.org/wiki/Rebecca_Goldstein

http://en.wikipedia.org/w/index.php?title=John_Forbes_Nash,_Jr.&action=edit§ion=5

http://en.wikipedia.org/wiki/Bipolar_disorder

http://en.wikipedia.org/wiki/Delusional

http://en.wikipedia.org/wiki/A_Beautiful_Mind_(book)

http://en.wikipedia.org/wiki/Mental_illness

http://en.wikipedia.org/wiki/John_Harsanyi

http://en.wikipedia.org/wiki/Reinhard_Selten

http://en.wikipedia.org/wiki/Nobel_Memorial_Prize_in_Economic_Sciences

http://en.wikipedia.org/wiki/Princeton_University

http://en.wikipedia.org/wiki/Evolutionary_biology

http://en.wikipedia.org/wiki/Market_economics

http://en.wikipedia.org/wiki/Partial_differential_equations

http://en.wikipedia.org/wiki/Differential_geometry

http://en.wikipedia.org/wiki/Game_theory

http://en.wikipedia.org/wiki/Mathematician

http://en.wikipedia.org/wiki/Nobel_Memorial_Prize_in_Economic_Sciences

http://en.wikipedia.org/wiki/Algebraic_geometry

http://en.wikipedia.org/wiki/Nash_embedding_theorem

http://en.wikipedia.org/wiki/Nash_equilibrium

http://en.wikipedia.org/wiki/Albert_W._Tucker

http://en.wikipedia.org/wiki/Doctoral_advisor

http://en.wikipedia.org/wiki/Carnegie_Mellon_University

http://en.wikipedia.org/wiki/Carnegie_Mellon_University

http://en.wikipedia.org/wiki/Carnegie_Institute_of_Technology

http://en.wikipedia.org/wiki/Princeton_University

http://en.wikipedia.org/wiki/Alma_mater

http://en.wikipedia.org/wiki/Princeton_University

http://en.wikipedia.org/wiki/Massachusetts_Institute_of_Technology

http://en.wikipedia.org/wiki/Economics

http://en.wikipedia.org/wiki/Mathematics

http://en.wikipedia.org/wiki/Bluefield,_West_Virginia

http://en.wikipedia.org/wiki/File:John_Forbes_Nash,_Jr._by_Peter_Badge.jpg

Page 2

Nash is the subject of the Hollywood movie A Beautiful Mind. The film, loosely based on the

biography of the same name, focuses on Nash's mathematical genius and struggle with paranoid

schizophrenia.[1][2]

Contents

[hide]

• 1 Early life

• 2 Post-graduate life

• 3 Personal life

• 4 Schizophrenia

• 5 Recognition and later career

• 6 References

• 7 External links

[edit] Early life

Nash was born on June 13, 1928 in Bluefield, West Virginia. His father, after whom he is named,

was an electrical engineer for the Appalachian Electric Power Company. His mother, Margaret,

had been a school teacher prior to marriage. Nash's parents pursued opportunities to supplement

their son's education with encyclopedias and even allowed him to take advanced mathematics

courses at a local college while still in high school. Nash accepted a scholarship to Carnegie

Institute of Technology (now Carnegie Mellon University) and graduated with a Master's Degree

in only three years.[3]

[edit] Post-graduate life

Nash's advisor and former Carnegie Tech professor, R.J. Duffin, wrote a letter of

recommendation consisting of a single sentence: "This man is a genius."[4] Nash was accepted by

Harvard University, but the chairman of the mathematics department of Princeton, Solomon

Lefschetz, offered him the John S. Kennedy fellowship, which was enough to convince Nash that

Harvard valued him less.[5] Thus he went to Princeton where he worked on his equilibrium

theory. He earned a doctorate in 1950 with a 28 page dissertation on non-cooperative games.[6]

The thesis, which was written under the supervision of Albert W. Tucker, contained the

definition and properties of what would later be called the "Nash Equilibrium". These studies led

to four articles:

• "Equilibrium Points in N-person Games" , Proceedings of the National Academy of

Sciences 36 (1950), 48–49. MR 0031701

• "The Bargaining Problem", Econometrica 18 (1950), 155–162. MR 0035977

• "Non-cooperative Games", Annals of Mathematics 54 (1951), 286–295. [1]

• "Two-person Cooperative Games", Econometrica 21 (1953), 128–140. MR 0053471

Nash did ground-breaking work in the area of real algebraic geometry:

• "Real algebraic manifolds", Annals of Mathematics 56 (1952), 405–421. MR 0050928 See

Proc. Internat. Congr. Math. (AMS, 1952, pp 516–517).

http://www.ams.org/mathscinet-getitem?mr=0050928

http://en.wikipedia.org/wiki/Mathematical_Reviews

http://en.wikipedia.org/wiki/Annals_of_Mathematics

http://en.wikipedia.org/wiki/Algebraic_geometry

http://www.ams.org/mathscinet-getitem?mr=0053471

http://en.wikipedia.org/wiki/Mathematical_Reviews

http://www.jstor.org/stable/1969529

http://www.ams.org/mathscinet-getitem?mr=0035977

http://en.wikipedia.org/wiki/Mathematical_Reviews

http://en.wikipedia.org/wiki/Econometrica

http://www.ams.org/mathscinet-getitem?mr=0031701

http://en.wikipedia.org/wiki/Mathematical_Reviews

http://en.wikipedia.org/wiki/Proceedings_of_the_National_Academy_of_Sciences

http://en.wikipedia.org/wiki/Proceedings_of_the_National_Academy_of_Sciences

http://www.pnas.org/cgi/reprint/36/1/48

http://en.wikipedia.org/wiki/Nash_Equilibrium

http://en.wikipedia.org/wiki/Albert_W._Tucker

http://en.wikipedia.org/wiki/Dissertation

http://en.wikipedia.org/wiki/Doctor_of_Philosophy

http://en.wikipedia.org/wiki/Nash_equilibrium

http://en.wikipedia.org/wiki/Solomon_Lefschetz

http://en.wikipedia.org/wiki/Solomon_Lefschetz

http://en.wikipedia.org/wiki/Harvard_University

http://en.wikipedia.org/wiki/Genius

http://en.wikipedia.org/w/index.php?title=John_Forbes_Nash,_Jr.&action=edit§ion=2

http://en.wikipedia.org/wiki/Carnegie_Mellon_University

http://en.wikipedia.org/w/index.php?title=John_Forbes_Nash,_Jr.&action=edit§ion=1

http://en.wikipedia.org/wiki/John_Forbes_Nash,_Jr.

http://en.wikipedia.org/wiki/John_Forbes_Nash,_Jr.

http://en.wikipedia.org/wiki/Paranoid_schizophrenia

http://en.wikipedia.org/wiki/Paranoid_schizophrenia

http://en.wikipedia.org/wiki/A_Beautiful_Mind_(book)

http://en.wikipedia.org/wiki/A_Beautiful_Mind_(film)

http://en.wikipedia.org/wiki/Hollywood

Page 3

http://en.wikipedia.org/wiki/Wikipedia:Avoid_weasel_words

http://en.wikipedia.org/wiki/Atypical_antipsychotic

http://en.wikipedia.org/wiki/A_Beautiful_Mind_(film)

http://en.wikipedia.org/wiki/Insulin_shock_therapy

http://en.wikipedia.org/wiki/Pharmaceutical_drug

http://en.wikipedia.org/wiki/Antipsychotic

http://en.wikipedia.org/wiki/Psychiatric_hospital

http://en.wikipedia.org/wiki/New_Jersey_State_Hospital_at_Trenton

http://en.wikipedia.org/wiki/Federal_government_of_the_United_States

http://en.wikipedia.org/wiki/Geneva

http://en.wikipedia.org/wiki/Citizenship

http://en.wikipedia.org/wiki/East_Germany

http://en.wikipedia.org/wiki/France

http://en.wikipedia.org/wiki/Political_asylum

http://en.wikipedia.org/wiki/Pension

http://en.wikipedia.org/wiki/Clinical_depression

http://en.wikipedia.org/wiki/Paranoid_schizophrenia

http://en.wikipedia.org/wiki/McLean_Hospital

http://en.wikipedia.org/wiki/Washington,_D.C.

http://en.wikipedia.org/wiki/Paranoia

http://en.wikipedia.org/w/index.php?title=John_Forbes_Nash,_Jr.&action=edit§ion=4

http://en.wikipedia.org/wiki/Nobel_Memorial_Prize_in_Economic_Sciences

http://en.wikipedia.org/wiki/Schizophrenia

http://en.wikipedia.org/wiki/Mental_hospital

http://en.wikipedia.org/wiki/El_Salvador

http://en.wikipedia.org/wiki/Physics

http://en.wikipedia.org/w/index.php?title=Alicia_L%C3%B3pez-Harrison_de_Lard%C3%A9&action=edit&redlink=1

http://en.wikipedia.org/wiki/Massachusetts_Institute_of_Technology

http://en.wikipedia.org/w/index.php?title=John_Forbes_Nash,_Jr.&action=edit§ion=3

http://en.wikipedia.org/wiki/Singularity_theory

http://en.wikipedia.org/wiki/Parabolic_partial_differential_equation

http://en.wikipedia.org/wiki/Euclidean_space

http://en.wikipedia.org/wiki/Isometry

http://en.wikipedia.org/wiki/Riemannian_manifold

http://en.wikipedia.org/wiki/Nash_embedding_theorem

http://en.wikipedia.org/wiki/Mathematics

Page 4

http://en.wikipedia.org/wiki/Evolutionary_psychology

http://en.wikipedia.org/wiki/Strike_action

http://en.wikipedia.org/wiki/Mental_illness

http://en.wikipedia.org/w/index.php?title=Partial_agency&action=edit&redlink=1

http://en.wikipedia.org/wiki/Wikipedia:Citation_needed

http://en.wikipedia.org/wiki/Wikipedia:Citation_needed

http://en.wikipedia.org/wiki/Bank_of_Sweden

http://en.wikipedia.org/wiki/Email

http://en.wikipedia.org/wiki/Reinhard_Selten

http://en.wikipedia.org/wiki/John_Harsanyi

http://en.wikipedia.org/wiki/Nobel_Memorial_Prize_in_Economic_Sciences

http://en.wikipedia.org/wiki/Leroy_P._Steele_Prize

http://en.wikipedia.org/wiki/Nash_equilibrium

http://en.wikipedia.org/wiki/John_von_Neumann_Theory_Prize

http://en.wikipedia.org/wiki/Rebecca_Goldstein

http://en.wikipedia.org/w/index.php?title=John_Forbes_Nash,_Jr.&action=edit§ion=5

http://en.wikipedia.org/wiki/Bipolar_disorder

http://en.wikipedia.org/wiki/Delusional

http://en.wikipedia.org/wiki/A_Beautiful_Mind_(book)

http://en.wikipedia.org/wiki/Mental_illness